253 citations
- Kyoto UniversityJP51 papers
- National Astronomical Observatory of JapanJP27 papers
- The University of TokyoJP27 papers
- Nagoya UniversityJP25 papers
- Hiroshima UniversityJP23 papers
- Université de MontréalCA19 papers
- Subaru (Japan)JP18 papers
- Centre National de la Recherche ScientifiqueFR17 papers
- Jet Propulsion LaboratoryUS16 papers
- Kagawa UniversityJP16 papers
- Nanjing UniversityCN16 papers
- The Graduate University for Advanced Studies, SOKENDAIJP16 papers
Showing 1999Show all
3 papers · 1 filter
solv-int1999★ 21 cited
Determinant Formulas for the Toda and Discrete Toda Equations
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi +2
Determinant formulas for the general solutions of the Toda and discrete Toda equations are presented. Application to the functions for the Painlevé equations is also discussed.
solv-int1999★ 50 cited
On the Umemura Polynomials for the Painlevé III equation
K. Kajiwara, T. Masuda
A determinant expression for the rational solutions of the Painlevé III (P) equation whose entries are the Laguerre polynomials is given. Degeneration of this determina…
solv-int1999★ 31 cited
A generalization of determinant formulas for the solutions of Painlevé II and XXXIV equations
K. Kajiwara, T. Masuda
A generalization of determinant formulas for the classical solutions of Painlevé XXXIV and Painlevé II equations are constructed using the technique of Darboux transformation and H…